explain 15 7/12 + 4 3/20 + 5 4/15 — step-by-step solution

⚠ 15 7/12 is read as the mixed number 15 + 7/12

⚠ 4 3/20 is read as the mixed number 4 + 3/20

Let's evaluate:

15

+ \frac{7}{12}

+ 4

+ \frac{3}{20}

+ 5

+ \frac{4}{15}

ℹ

15 + 4

19

19

+ \frac{7}{12}

+ \frac{3}{20}

+ 5

+ \frac{4}{15}

ℹ

19 + 5

24

24

+ \frac{7}{12}

+ \frac{3}{20}

+ \frac{4}{15}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

\frac{7}{12} + \frac{3}{20}

\frac{7 \times 5 + 3 \times 3}{12 \times 5}

24 + \frac{7 \times 5 + 3 \times 3}{12 \times 5} + \frac{4}{15}

ⓘMultiplications are done before additions and subtractions:

7 \times 5

35

‖

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

ℹ

3 \times 3

9

24 + \frac{35 + 9}{60} + \frac{4}{15}

ⓘThe numerator and the denominator are computed before the division:

35 + 9

44

24 + \frac{44}{60} + \frac{4}{15}

ℹ

\frac{44}{60} + \frac{4}{15}

\frac{44 + 4 \times 4}{60}

24 + \frac{44 + 4 \times 4}{60}

ℹ

4 \times 4

16

24 + \frac{44 + 16}{60}

ℹ

44 + 16

60

24 + \frac{60}{60}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

60

\frac{60}{60}

\frac{1 \times 60}{1 \times 60}

\frac{1}{1}

24 + 1

▶Result:

25